at the concentrations of

USAGE SUMMARY

The phrase "at the concentrations of" is correct and can be used in written English.
You can use it when you are speaking of different concentrations of an element or substance. For example, "The study found that the effects of the drug were most beneficial at the concentrations of 10mg and 15mg."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

However, these methods do not provide a detailed account of carrier transport at the concentrations of interest; i.e., near or below the percolation threshold.

Nanoscale Research Letters

As shown in Fig. S53 (Supporting Information), all test compounds at the concentrations of 10 μM for 48 h did not show any toxicity.

Nature

H9C2 cells were exposed to BBR treatment for 4 h at the concentrations of 0.5, 5, 50, or 500 μmol/L.

Nature

Exogenously added GSH also stabilized CH3As(GS)2 in bile at the concentrations of 5 mM or higher.

Toxicology

Moreover, inhibition effect of NaCl and NH4Cl at the concentrations of 25 and 50 mM was observed.

Biochemical Engineering Journal

By using the system, we obtained four event timing data sets (stimulation by NGF with and without staurosporine at the concentrations of 0.01, 0.1, and 1 μM).

Biosensors and Bioelectronics

To validate the performance of the biosensor, ethanol solution samples at the concentrations of 5%, 7.5 %, 10, 12.5% and 12.5in volumetric fractions were used, respectively.

Optics Communications

At the concentrations of 10 and 20 μg/ml, AgNPs decreased the cell viability to 83 and 49%%, respectively.

Nanoscale Research Letters

The MES cells maintained under 1G or SMG were treated with H2O2 at the concentrations of 0, 2.5, 5, 10, and 30 μmol/L for 24 h.

Biophysics Reports

The ingestion rates of IMP·Na2 were found significantly decreased (P < 0.05) at the concentrations of 0.01 and 0.001 M (78 and 2 %, respectively).

International Aquatic Research

Copper ion at the concentrations of 0.01 and 0.05 mM had no effect on PPO in DEAE-Sephacel fraction (P > 0.05).

International Aquatic Research

Expert writing Tips

Best practice

When describing experimental conditions, always specify the units of measurement (e.g., μM, mg/mL) to ensure clarity and reproducibility.

Common error

Avoid using ambiguous concentration units or failing to specify the solvent. Always state the units clearly (e.g., "at the concentrations of 10 μM in DMSO") to prevent misinterpretation.

Linguistic Context

The phrase "at the concentrations of" functions as a prepositional phrase that modifies a noun or verb, specifying the amount or proportion of a substance or element present. As Ludwig AI confirms, it's grammatically sound for use in written English.

Expression frequency: Very common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, the phrase "at the concentrations of" is a grammatically correct and very common prepositional phrase, predominantly used in scientific and technical contexts. As Ludwig AI confirms, it's suitable for written English. It serves to precisely specify the amount or level of a substance, as demonstrated by the examples in Ludwig. While its register is primarily formal and scientific, understanding its function and purpose ensures effective communication in various settings. While other phrases could be used, this phrase is particularly useful in scientific contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

with concentrations of

Changes the preposition to "with", which indicates a state or condition rather than a specific point.

in concentrations of

Uses "in" to specify the medium or environment where the concentrations exist.

with a concentration of

Singular form focusing on a single, specific concentration level.

at levels of

Substitutes "concentrations" with "levels", implying a graded scale or measure.

at a dosage of

Replaces "concentrations" with "dosage", specifically for contexts involving medications or controlled substances.

in proportions of

Emphasizes the ratio or fraction of a substance relative to others.

at a ratio of

Focuses on the proportional relationship between different components.

in amounts of

Uses "amounts" to generally refer to the quantity of a substance, less specific than concentration.

using quantities of

Highlights the utilization of specified amounts in a process or experiment.

at values of

Emphasizes the numerical measurement of a concentration rather than the substance itself.

FAQs

How do I properly use "at the concentrations of" in a scientific paper?

In scientific writing, follow "at the concentrations of" with specific numerical values and units, such as "at the concentrations of 5 mg/mL and 10 mg/mL". This ensures clarity and replicability of your research.

What's a good alternative to "at the concentrations of" in experimental design descriptions?

Consider using phrases like "with concentrations of" or "at levels of" for variety. Ensure the alternative maintains the precision required for scientific communication.

Is it ever incorrect to use "at the concentrations of"?

While grammatically correct, overuse can make your writing monotonous. Vary your phrasing with alternatives like "in proportions of" or "in amounts of" where appropriate. However, always maintain precision in technical contexts.

How does the context affect the choice of using "at the concentrations of"?

In formal scientific and technical contexts, "at the concentrations of" is suitable due to its precision. In more informal settings, you might opt for simpler phrasing like "with a concentration of" or "using quantities of", but always prioritize clarity.